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Convergence rate of EM algorithm for SDEs under integrability condition

In this paper, by employing Gaussian type estimate of heat kernel, we establish Krylov's estimate and Khasminskill's estimate for EM algorithm. As applications, by taking Zvonkin's transformation into account, we investigate convergence rate of EM algorithm for a class of multidimensional SDEs under integrability conditions, where the drifts need not to be piecewise Lipschitz and are much more singular in some sense.

preprint2020arXivOpen access
Jianhai BaoXing HuangShao-Qin Zhang
math.PRmath.NANumerical Analysis
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Jianhai BaoXing HuangShao-Qin Zhang

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